TSTP Solution File: SWC410-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC410-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:43:13 EDT 2023
% Result : Unsatisfiable 187.78s 25.66s
% Output : CNFRefutation 187.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 50
% Syntax : Number of clauses : 242 ( 61 unt; 43 nHn; 231 RR)
% Number of literals : 675 ( 172 equ; 407 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 191 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
cnf(c_52,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
cnf(c_53,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(c_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
memberP(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
~ memberP(sk1,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
( sk4 != nil
| sk3 = nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( app(X0,X1) != X2
| cons(X3,nil) != X1
| tl(sk3) != X0
| hd(sk3) != X3
| ~ neq(sk4,nil)
| ~ neq(nil,sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| X2 = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(c_68,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_72,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_73,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_110,plain,
ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(c_111,plain,
ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(c_121,plain,
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(c_131,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(c_132,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_137,plain,
( ~ ssList(X0)
| X0 = nil
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(c_138,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_144,plain,
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(c_145,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_146,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_158,plain,
( cons(X0,X1) != nil
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(c_160,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_164,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_169,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(c_175,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_178,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(c_179,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(c_180,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(c_183,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| hd(app(X1,X0)) = hd(X1)
| X1 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause123) ).
cnf(c_191,plain,
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(c_192,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(c_198,plain,
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).
cnf(c_199,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause139) ).
cnf(c_200,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
cnf(c_201,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).
cnf(c_203,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(c_204,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(c_209,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(c_217,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| app(cons(X2,X0),X1) = cons(X2,app(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(c_218,plain,
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| memberP(X0,X2)
| memberP(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause158) ).
cnf(c_221,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| memberP(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause161) ).
cnf(c_234,plain,
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| frontsegP(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause174) ).
cnf(c_239,plain,
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
cnf(c_251,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_175]) ).
cnf(c_255,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_204]) ).
cnf(c_256,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(unflattening,[status(thm)],[c_203]) ).
cnf(c_257,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X0),X1) ),
inference(unflattening,[status(thm)],[c_198]) ).
cnf(c_262,plain,
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
inference(unflattening,[status(thm)],[c_239]) ).
cnf(c_269,negated_conjecture,
( ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
| ~ ssList(cons(hd(sk3),nil))
| ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ neq(sk4,nil)
| ~ neq(nil,sk3)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4 ),
inference(unflattening,[status(thm)],[c_60]) ).
cnf(c_313,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_331,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| nil = nil ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_344,plain,
( ~ neq(nil,nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_251]) ).
cnf(c_643,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_256,c_145]) ).
cnf(c_644,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ neq(sk4,nil)
| ~ neq(nil,sk3)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4 ),
inference(backward_subsumption_resolution,[status(thm)],[c_269,c_145]) ).
cnf(c_645,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_255,c_145]) ).
cnf(c_1534,plain,
~ memberP(sk3,sk5),
inference(demodulation,[status(thm)],[c_57,c_54]) ).
cnf(c_1536,plain,
memberP(sk4,sk5),
inference(demodulation,[status(thm)],[c_56,c_53]) ).
cnf(c_6397,plain,
( ssItem(X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_132]) ).
cnf(c_6398,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_132]) ).
cnf(c_6399,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_132]) ).
cnf(c_6400,plain,
X0 = X0,
theory(equality) ).
cnf(c_6402,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_6405,plain,
( X0 != X1
| X2 != X3
| ~ memberP(X1,X3)
| memberP(X0,X2) ),
theory(equality) ).
cnf(c_6406,plain,
( X0 != X1
| X2 != X3
| ~ neq(X1,X3)
| neq(X0,X2) ),
theory(equality) ).
cnf(c_9108,plain,
( X0 != sk4
| X1 != sk5
| ~ memberP(sk4,sk5)
| memberP(X0,X1) ),
inference(instantiation,[status(thm)],[c_6405]) ).
cnf(c_9285,plain,
( ~ ssList(cons(X0,X1))
| ~ ssList(X2)
| ssList(app(X2,cons(X0,X1))) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_9410,plain,
( X0 != sk4
| sk5 != sk5
| ~ memberP(sk4,sk5)
| memberP(X0,sk5) ),
inference(instantiation,[status(thm)],[c_9108]) ).
cnf(c_9411,plain,
sk5 = sk5,
inference(instantiation,[status(thm)],[c_6400]) ).
cnf(c_9412,plain,
( sk5 != sk5
| nil != sk4
| ~ memberP(sk4,sk5)
| memberP(nil,sk5) ),
inference(instantiation,[status(thm)],[c_9410]) ).
cnf(c_9745,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ neq(sk4,nil)
| ~ neq(nil,sk3)
| ~ ssList(nil)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4 ),
inference(superposition,[status(thm)],[c_146,c_644]) ).
cnf(c_9746,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ neq(sk4,nil)
| ~ neq(nil,sk3)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9745,c_68]) ).
cnf(c_10454,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ neq(sk4,nil)
| ~ neq(nil,sk3)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4 ),
inference(global_subsumption_just,[status(thm)],[c_644,c_9746]) ).
cnf(c_11074,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ neq(nil,sk3)
| ~ ssList(sk4)
| ~ ssList(nil)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4
| sk4 = nil ),
inference(superposition,[status(thm)],[c_160,c_10454]) ).
cnf(c_11079,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ neq(nil,sk3)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4
| sk4 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_11074,c_68,c_52]) ).
cnf(c_11723,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ ssList(sk3)
| ~ ssList(nil)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4
| sk3 = nil
| sk4 = nil ),
inference(superposition,[status(thm)],[c_160,c_11079]) ).
cnf(c_11724,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| app(tl(sk3),cons(hd(sk3),nil)) = sk4
| sk3 = nil
| sk4 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_11723,c_68,c_51]) ).
cnf(c_11725,plain,
( sk3 = nil
| app(tl(sk3),cons(hd(sk3),nil)) = sk4
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3)) ),
inference(global_subsumption_just,[status(thm)],[c_11724,c_58,c_11724]) ).
cnf(c_11726,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| app(tl(sk3),cons(hd(sk3),nil)) = sk4
| sk3 = nil ),
inference(renaming,[status(thm)],[c_11725]) ).
cnf(c_11732,plain,
( ~ ssList(tl(sk3))
| ~ ssList(sk3)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4
| sk3 = nil ),
inference(superposition,[status(thm)],[c_138,c_11726]) ).
cnf(c_11733,plain,
( ~ ssList(tl(sk3))
| app(tl(sk3),cons(hd(sk3),nil)) = sk4
| sk3 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_11732,c_51]) ).
cnf(c_11753,plain,
( ~ ssList(sk3)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4
| sk3 = nil ),
inference(superposition,[status(thm)],[c_137,c_11733]) ).
cnf(c_11754,plain,
( app(tl(sk3),cons(hd(sk3),nil)) = sk4
| sk3 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_11753,c_51]) ).
cnf(c_11842,plain,
( cons(hd(sk3),tl(sk3)) = sk3
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_164]) ).
cnf(c_12016,plain,
( ~ ssList(X0)
| ~ ssList(sk4)
| X0 = sk4
| neq(sk4,X0) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_12017,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| neq(sk4,nil) ),
inference(instantiation,[status(thm)],[c_12016]) ).
cnf(c_12072,plain,
( cons(skaf83(sk3),skaf82(sk3)) = sk3
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_169]) ).
cnf(c_12439,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk3) = cons(X0,sk3) ),
inference(superposition,[status(thm)],[c_51,c_180]) ).
cnf(c_12851,plain,
app(cons(sk5,nil),sk3) = cons(sk5,sk3),
inference(superposition,[status(thm)],[c_55,c_12439]) ).
cnf(c_12979,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ssList(cons(sk5,sk3)) ),
inference(superposition,[status(thm)],[c_12851,c_145]) ).
cnf(c_12980,plain,
( ~ ssList(cons(sk5,nil))
| ssList(cons(sk5,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12979,c_51]) ).
cnf(c_12985,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssList(cons(sk5,sk3)) ),
inference(superposition,[status(thm)],[c_146,c_12980]) ).
cnf(c_12986,plain,
ssList(cons(sk5,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_12985,c_55,c_68]) ).
cnf(c_15923,plain,
( ~ memberP(nil,sk5)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_16159,plain,
( ~ ssList(X0)
| ~ ssItem(sk5)
| ssList(cons(sk5,X0)) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_16160,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssList(cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_16159]) ).
cnf(c_19963,plain,
( X0 != sk3
| X1 != nil
| ~ neq(sk3,nil)
| neq(X0,X1) ),
inference(instantiation,[status(thm)],[c_6406]) ).
cnf(c_19964,plain,
( nil != sk3
| nil != nil
| ~ neq(sk3,nil)
| neq(nil,nil) ),
inference(instantiation,[status(thm)],[c_19963]) ).
cnf(c_24726,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X1,X0),sk3) = app(X1,app(X0,sk3)) ),
inference(superposition,[status(thm)],[c_51,c_209]) ).
cnf(c_27727,plain,
( ~ ssList(X0)
| app(app(X0,sk3),sk3) = app(X0,app(sk3,sk3)) ),
inference(superposition,[status(thm)],[c_51,c_24726]) ).
cnf(c_28026,plain,
app(app(sk3,sk3),sk3) = app(sk3,app(sk3,sk3)),
inference(superposition,[status(thm)],[c_51,c_27727]) ).
cnf(c_28343,plain,
( app(sk3,app(sk3,sk3)) != nil
| ~ ssList(app(sk3,sk3))
| ~ ssList(sk3)
| sk3 = nil ),
inference(superposition,[status(thm)],[c_28026,c_179]) ).
cnf(c_28347,plain,
( ~ ssList(app(sk3,sk3))
| ~ ssList(sk3)
| ssList(app(sk3,app(sk3,sk3))) ),
inference(superposition,[status(thm)],[c_28026,c_145]) ).
cnf(c_28358,plain,
( ~ ssList(app(sk3,sk3))
| ssList(app(sk3,app(sk3,sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28347,c_51]) ).
cnf(c_28363,plain,
( app(sk3,app(sk3,sk3)) != nil
| ~ ssList(app(sk3,sk3))
| sk3 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_28343,c_51]) ).
cnf(c_28594,plain,
( X0 != X1
| sk3 != X1
| X0 = sk3 ),
inference(instantiation,[status(thm)],[c_6402]) ).
cnf(c_28595,plain,
( sk3 != nil
| nil != nil
| nil = sk3 ),
inference(instantiation,[status(thm)],[c_28594]) ).
cnf(c_36253,plain,
( ~ ssList(sk3)
| sk3 = nil
| ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_36254,plain,
( ~ ssList(sk3)
| sk3 = nil
| ssList(tl(sk3)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_39236,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ssList(app(X0,cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_9285]) ).
cnf(c_39237,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(nil)
| ssList(app(nil,cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_39236]) ).
cnf(c_42713,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk3) = cons(X0,sk3) ),
inference(superposition,[status(thm)],[c_51,c_180]) ).
cnf(c_42814,plain,
app(cons(sk5,nil),sk3) = cons(sk5,sk3),
inference(superposition,[status(thm)],[c_55,c_42713]) ).
cnf(c_42837,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ssList(cons(sk5,sk3)) ),
inference(superposition,[status(thm)],[c_42814,c_145]) ).
cnf(c_42838,plain,
( ~ ssList(cons(sk5,nil))
| ssList(cons(sk5,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42837,c_51]) ).
cnf(c_42842,plain,
ssList(cons(sk5,sk3)),
inference(global_subsumption_just,[status(thm)],[c_42838,c_12986]) ).
cnf(c_44133,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| app(cons(X1,sk3),X0) = cons(X1,app(sk3,X0)) ),
inference(superposition,[status(thm)],[c_51,c_217]) ).
cnf(c_49175,plain,
( ~ ssItem(X0)
| app(cons(X0,sk3),sk3) = cons(X0,app(sk3,sk3)) ),
inference(superposition,[status(thm)],[c_51,c_44133]) ).
cnf(c_49562,plain,
app(cons(sk5,sk3),sk3) = cons(sk5,app(sk3,sk3)),
inference(superposition,[status(thm)],[c_55,c_49175]) ).
cnf(c_49920,plain,
( ~ ssList(cons(sk5,sk3))
| ~ ssList(sk3)
| frontsegP(cons(sk5,app(sk3,sk3)),cons(sk5,sk3)) ),
inference(superposition,[status(thm)],[c_49562,c_645]) ).
cnf(c_49935,plain,
frontsegP(cons(sk5,app(sk3,sk3)),cons(sk5,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_49920,c_51,c_42842]) ).
cnf(c_50399,plain,
( ~ ssList(app(sk3,sk3))
| ~ ssList(sk3)
| ~ ssItem(sk5)
| frontsegP(app(sk3,sk3),sk3) ),
inference(superposition,[status(thm)],[c_49935,c_234]) ).
cnf(c_50400,plain,
( ~ ssList(app(sk3,sk3))
| frontsegP(app(sk3,sk3),sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50399,c_55,c_51]) ).
cnf(c_50407,plain,
( ~ ssList(app(sk3,sk3))
| ~ ssList(sk3)
| app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3) ),
inference(superposition,[status(thm)],[c_50400,c_192]) ).
cnf(c_50410,plain,
( ~ ssList(app(sk3,sk3))
| app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50407,c_51]) ).
cnf(c_53336,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(X0)
| ssList(cons(hd(sk3),X0)) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_53337,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(nil)
| ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_53336]) ).
cnf(c_54287,plain,
( ~ ssList(sk3)
| app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3) ),
inference(superposition,[status(thm)],[c_145,c_50410]) ).
cnf(c_54288,plain,
app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_54287,c_51]) ).
cnf(c_54297,plain,
( ~ ssList(skaf45(app(sk3,sk3),sk3))
| ~ ssList(sk3)
| ssList(app(sk3,sk3)) ),
inference(superposition,[status(thm)],[c_54288,c_145]) ).
cnf(c_54309,plain,
ssList(app(sk3,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_54297,c_51,c_111]) ).
cnf(c_58702,plain,
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(cons(sk5,nil))
| ssList(app(app(X0,cons(X1,X2)),cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_39236]) ).
cnf(c_68640,plain,
( ~ ssList(app(nil,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_58702]) ).
cnf(c_199553,plain,
app(tl(sk3),cons(hd(sk3),nil)) = sk4,
inference(global_subsumption_just,[status(thm)],[c_644,c_55,c_52,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_11754,c_12017,c_15923,c_19964,c_28595]) ).
cnf(c_199728,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ sP1_iProver_split
| duplicatefreeP(app(X1,X0)) ),
inference(superposition,[status(thm)],[c_145,c_6398]) ).
cnf(c_200303,plain,
( cons(hd(sk3),tl(sk3)) = sk3
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_164]) ).
cnf(c_200340,plain,
( cons(skaf83(sk3),skaf82(sk3)) = sk3
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_169]) ).
cnf(c_200377,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk3) = cons(X0,sk3) ),
inference(superposition,[status(thm)],[c_51,c_180]) ).
cnf(c_200378,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk4) = cons(X0,sk4) ),
inference(superposition,[status(thm)],[c_52,c_180]) ).
cnf(c_200502,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(global_subsumption_just,[status(thm)],[c_200303,c_55,c_52,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_11842,c_12017,c_15923,c_19964,c_28595]) ).
cnf(c_200508,plain,
cons(skaf83(sk3),skaf82(sk3)) = sk3,
inference(global_subsumption_just,[status(thm)],[c_200340,c_55,c_52,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_12017,c_12072,c_15923,c_19964,c_28595]) ).
cnf(c_200513,plain,
( sk3 != nil
| ~ ssList(skaf82(sk3))
| ~ ssItem(skaf83(sk3)) ),
inference(superposition,[status(thm)],[c_200508,c_158]) ).
cnf(c_200515,plain,
sk3 != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_200513,c_72,c_73]) ).
cnf(c_200519,plain,
app(cons(sk5,nil),sk3) = cons(sk5,sk3),
inference(superposition,[status(thm)],[c_55,c_200377]) ).
cnf(c_200541,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ssList(cons(sk5,sk3)) ),
inference(superposition,[status(thm)],[c_200519,c_145]) ).
cnf(c_200542,plain,
( ~ ssList(cons(sk5,nil))
| ssList(cons(sk5,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200541,c_51]) ).
cnf(c_200596,plain,
ssList(cons(sk5,sk3)),
inference(global_subsumption_just,[status(thm)],[c_200542,c_12986]) ).
cnf(c_200670,plain,
( ~ ssList(X0)
| hd(app(X0,sk3)) = hd(X0)
| X0 = nil ),
inference(superposition,[status(thm)],[c_51,c_183]) ).
cnf(c_200754,plain,
( hd(app(sk3,sk3)) = hd(sk3)
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_200670]) ).
cnf(c_200790,plain,
hd(app(sk3,sk3)) = hd(sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_200754,c_200515]) ).
cnf(c_201047,plain,
( ~ memberP(tl(sk3),X0)
| ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ~ ssItem(X0)
| memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_200502,c_199]) ).
cnf(c_201798,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X1,X0),sk3) = app(X1,app(X0,sk3)) ),
inference(superposition,[status(thm)],[c_51,c_209]) ).
cnf(c_201936,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| app(cons(X1,sk3),X0) = cons(X1,app(sk3,X0)) ),
inference(superposition,[status(thm)],[c_51,c_217]) ).
cnf(c_201937,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| app(cons(X1,sk4),X0) = cons(X1,app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_52,c_217]) ).
cnf(c_201980,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ memberP(sk4,X0)
| ~ ssList(tl(sk3))
| ~ ssItem(X0)
| memberP(cons(hd(sk3),nil),X0)
| memberP(tl(sk3),X0) ),
inference(superposition,[status(thm)],[c_199553,c_218]) ).
cnf(c_203069,plain,
( ~ ssList(X0)
| app(app(X0,sk3),sk3) = app(X0,app(sk3,sk3)) ),
inference(superposition,[status(thm)],[c_51,c_201798]) ).
cnf(c_203408,plain,
app(app(sk3,sk3),sk3) = app(sk3,app(sk3,sk3)),
inference(superposition,[status(thm)],[c_51,c_203069]) ).
cnf(c_203446,plain,
( app(sk3,app(sk3,sk3)) != nil
| ~ ssList(app(sk3,sk3))
| ~ ssList(sk3)
| sk3 = nil ),
inference(superposition,[status(thm)],[c_203408,c_179]) ).
cnf(c_203450,plain,
( ~ ssList(app(sk3,sk3))
| ~ ssList(sk3)
| ssList(app(sk3,app(sk3,sk3))) ),
inference(superposition,[status(thm)],[c_203408,c_145]) ).
cnf(c_203460,plain,
( ~ ssList(app(sk3,sk3))
| ssList(app(sk3,app(sk3,sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203450,c_51]) ).
cnf(c_203464,plain,
( app(sk3,app(sk3,sk3)) != nil
| ~ ssList(app(sk3,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203446,c_200515,c_51]) ).
cnf(c_203475,plain,
ssList(app(sk3,app(sk3,sk3))),
inference(global_subsumption_just,[status(thm)],[c_203460,c_28358,c_54309]) ).
cnf(c_203739,plain,
app(sk3,app(sk3,sk3)) != nil,
inference(global_subsumption_just,[status(thm)],[c_203464,c_55,c_52,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_12017,c_15923,c_19964,c_28363,c_28595,c_54309]) ).
cnf(c_206553,plain,
( ~ ssItem(X0)
| app(cons(X0,sk3),sk3) = cons(X0,app(sk3,sk3)) ),
inference(superposition,[status(thm)],[c_51,c_201936]) ).
cnf(c_206598,plain,
app(cons(sk5,sk3),sk3) = cons(sk5,app(sk3,sk3)),
inference(superposition,[status(thm)],[c_55,c_206553]) ).
cnf(c_206624,plain,
( ~ ssList(cons(sk5,sk3))
| ~ ssList(sk3)
| frontsegP(cons(sk5,app(sk3,sk3)),cons(sk5,sk3)) ),
inference(superposition,[status(thm)],[c_206598,c_645]) ).
cnf(c_206639,plain,
frontsegP(cons(sk5,app(sk3,sk3)),cons(sk5,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_206624,c_51,c_200596]) ).
cnf(c_206703,plain,
( ~ ssList(app(sk3,sk3))
| ~ ssList(sk3)
| ~ ssItem(sk5)
| frontsegP(app(sk3,sk3),sk3) ),
inference(superposition,[status(thm)],[c_206639,c_234]) ).
cnf(c_206704,plain,
( ~ ssList(app(sk3,sk3))
| frontsegP(app(sk3,sk3),sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206703,c_55,c_51]) ).
cnf(c_206731,plain,
frontsegP(app(sk3,sk3),sk3),
inference(global_subsumption_just,[status(thm)],[c_206704,c_50400,c_54309]) ).
cnf(c_206734,plain,
( ~ ssList(app(sk3,sk3))
| ~ ssList(sk3)
| app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3) ),
inference(superposition,[status(thm)],[c_206731,c_192]) ).
cnf(c_206737,plain,
( ~ ssList(app(sk3,sk3))
| app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206734,c_51]) ).
cnf(c_207064,plain,
app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3),
inference(global_subsumption_just,[status(thm)],[c_206737,c_54288]) ).
cnf(c_207071,plain,
( app(sk3,sk3) != nil
| ~ ssList(skaf45(app(sk3,sk3),sk3))
| ~ ssList(sk3)
| sk3 = nil ),
inference(superposition,[status(thm)],[c_207064,c_178]) ).
cnf(c_207074,plain,
( ~ ssList(skaf45(app(sk3,sk3),sk3))
| ~ ssList(sk3)
| ssList(app(sk3,sk3)) ),
inference(superposition,[status(thm)],[c_207064,c_145]) ).
cnf(c_207086,plain,
ssList(app(sk3,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_207074,c_51,c_111]) ).
cnf(c_207091,plain,
app(sk3,sk3) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_207071,c_200515,c_51,c_111]) ).
cnf(c_207160,plain,
( hd(app(app(sk3,sk3),sk3)) = hd(app(sk3,sk3))
| app(sk3,sk3) = nil ),
inference(superposition,[status(thm)],[c_207086,c_200670]) ).
cnf(c_207170,plain,
hd(app(app(sk3,sk3),sk3)) = hd(app(sk3,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_207160,c_207091]) ).
cnf(c_207393,plain,
( ~ ssItem(X0)
| app(cons(X0,sk4),sk4) = cons(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_52,c_201937]) ).
cnf(c_215689,plain,
hd(app(sk3,app(sk3,sk3))) = hd(sk3),
inference(light_normalisation,[status(thm)],[c_207170,c_203408,c_200790]) ).
cnf(c_215690,plain,
( ~ ssList(app(sk3,app(sk3,sk3)))
| app(sk3,app(sk3,sk3)) = nil
| ssItem(hd(sk3)) ),
inference(superposition,[status(thm)],[c_215689,c_138]) ).
cnf(c_215693,plain,
ssItem(hd(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_215690,c_203739,c_203475]) ).
cnf(c_215736,plain,
( ~ memberP(tl(sk3),X0)
| ~ ssList(tl(sk3))
| ~ ssItem(X0)
| memberP(sk3,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_201047,c_215693]) ).
cnf(c_215774,plain,
app(cons(hd(sk3),sk4),sk4) = cons(hd(sk3),app(sk4,sk4)),
inference(superposition,[status(thm)],[c_215693,c_207393]) ).
cnf(c_215780,plain,
app(cons(hd(sk3),nil),sk4) = cons(hd(sk3),sk4),
inference(superposition,[status(thm)],[c_215693,c_200378]) ).
cnf(c_215781,plain,
app(cons(hd(sk3),nil),sk3) = cons(hd(sk3),sk3),
inference(superposition,[status(thm)],[c_215693,c_200377]) ).
cnf(c_218828,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(sk4)
| ssList(cons(hd(sk3),sk4)) ),
inference(superposition,[status(thm)],[c_215780,c_145]) ).
cnf(c_218840,plain,
( ~ ssList(cons(hd(sk3),nil))
| ssList(cons(hd(sk3),sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218828,c_52]) ).
cnf(c_218872,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(sk3)
| rearsegP(cons(hd(sk3),sk3),sk3) ),
inference(superposition,[status(thm)],[c_215781,c_643]) ).
cnf(c_218874,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(sk3)
| ssList(cons(hd(sk3),sk3)) ),
inference(superposition,[status(thm)],[c_215781,c_145]) ).
cnf(c_218878,plain,
( ~ memberP(cons(hd(sk3),nil),X0)
| ~ ssList(cons(hd(sk3),nil))
| ~ ssItem(X0)
| ~ ssList(sk3)
| memberP(cons(hd(sk3),sk3),X0) ),
inference(superposition,[status(thm)],[c_215781,c_200]) ).
cnf(c_218886,plain,
( ~ ssList(cons(hd(sk3),nil))
| ssList(cons(hd(sk3),sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218874,c_51]) ).
cnf(c_218887,plain,
( ~ ssList(cons(hd(sk3),nil))
| rearsegP(cons(hd(sk3),sk3),sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218872,c_51]) ).
cnf(c_218894,plain,
( ~ memberP(cons(hd(sk3),nil),X0)
| ~ ssList(cons(hd(sk3),nil))
| ~ ssItem(X0)
| memberP(cons(hd(sk3),sk3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218878,c_51]) ).
cnf(c_218911,plain,
ssList(cons(hd(sk3),sk4)),
inference(global_subsumption_just,[status(thm)],[c_218840,c_55,c_52,c_51,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_12017,c_15923,c_19964,c_28595,c_36253,c_53337,c_218840]) ).
cnf(c_218963,plain,
ssList(cons(hd(sk3),sk3)),
inference(global_subsumption_just,[status(thm)],[c_218886,c_55,c_52,c_51,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_12017,c_15923,c_19964,c_28595,c_36253,c_53337,c_218886]) ).
cnf(c_219024,plain,
rearsegP(cons(hd(sk3),sk3),sk3),
inference(global_subsumption_just,[status(thm)],[c_218887,c_55,c_52,c_51,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_12017,c_15923,c_19964,c_28595,c_36253,c_53337,c_218887]) ).
cnf(c_219027,plain,
( ~ ssList(cons(hd(sk3),sk3))
| ~ ssList(sk3)
| app(skaf46(cons(hd(sk3),sk3),sk3),sk3) = cons(hd(sk3),sk3) ),
inference(superposition,[status(thm)],[c_219024,c_191]) ).
cnf(c_219031,plain,
app(skaf46(cons(hd(sk3),sk3),sk3),sk3) = cons(hd(sk3),sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_219027,c_51,c_218963]) ).
cnf(c_219457,plain,
( ~ ssList(skaf46(cons(hd(sk3),sk3),sk3))
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| memberP(cons(hd(sk3),sk3),X0) ),
inference(superposition,[status(thm)],[c_219031,c_201]) ).
cnf(c_219470,plain,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(cons(hd(sk3),sk3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219457,c_51,c_110]) ).
cnf(c_283027,plain,
( ~ ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ duplicatefreeP(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_262]) ).
cnf(c_283028,plain,
( ~ ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ duplicatefreeP(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_283027]) ).
cnf(c_285825,plain,
( ~ ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ sP1_iProver_split
| duplicatefreeP(app(app(X0,cons(sk5,X1)),cons(sk5,X2))) ),
inference(instantiation,[status(thm)],[c_6398]) ).
cnf(c_285828,plain,
( ~ ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ sP1_iProver_split
| duplicatefreeP(app(app(nil,cons(sk5,nil)),cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_285825]) ).
cnf(c_351932,plain,
( ~ ssList(cons(hd(sk3),sk4))
| ~ ssList(sk4)
| ~ sP1_iProver_split
| duplicatefreeP(cons(hd(sk3),app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_215774,c_199728]) ).
cnf(c_351947,plain,
( ~ sP1_iProver_split
| duplicatefreeP(cons(hd(sk3),app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_351932,c_52,c_218911]) ).
cnf(c_354440,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_351947,c_55,c_68,c_16160,c_39237,c_68640,c_283028,c_285828]) ).
cnf(c_354442,plain,
sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_6399,c_354440]) ).
cnf(c_354508,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6397,c_354442]) ).
cnf(c_355560,plain,
( ~ memberP(sk3,X0)
| memberP(cons(hd(sk3),sk3),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_219470,c_354508]) ).
cnf(c_355600,plain,
( ~ memberP(cons(hd(sk3),nil),X0)
| ~ ssList(cons(hd(sk3),nil))
| memberP(cons(hd(sk3),sk3),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_218894,c_354508]) ).
cnf(c_355992,plain,
( ~ memberP(tl(sk3),X0)
| ~ ssList(tl(sk3))
| memberP(sk3,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_215736,c_354508]) ).
cnf(c_356621,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ memberP(sk4,X0)
| ~ ssList(tl(sk3))
| memberP(cons(hd(sk3),nil),X0)
| memberP(tl(sk3),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_201980,c_354508]) ).
cnf(c_503098,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(tl(sk3))
| ~ neq(sk4,nil)
| ~ neq(nil,sk3)
| app(tl(sk3),cons(hd(sk3),nil)) = sk4 ),
inference(backward_subsumption_resolution,[status(thm)],[c_644,c_354508]) ).
cnf(c_503108,plain,
( ~ ssList(X0)
| memberP(cons(X1,X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_257,c_354508]) ).
cnf(c_503116,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_221,c_354508]) ).
cnf(c_503119,plain,
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X0,X2)
| memberP(X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_218,c_354508]) ).
cnf(c_503127,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,X2),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_200,c_354508]) ).
cnf(c_503136,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_180,c_354508]) ).
cnf(c_503161,plain,
app(tl(sk3),cons(hd(sk3),nil)) = sk4,
inference(global_subsumption_just,[status(thm)],[c_503098,c_55,c_52,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_11754,c_12017,c_15923,c_19964,c_28595]) ).
cnf(c_503261,plain,
app(cons(X0,nil),sk3) = cons(X0,sk3),
inference(superposition,[status(thm)],[c_51,c_503136]) ).
cnf(c_503334,plain,
( ~ memberP(cons(X0,nil),X1)
| ~ ssList(cons(X0,nil))
| ~ ssList(sk3)
| memberP(cons(X0,sk3),X1) ),
inference(superposition,[status(thm)],[c_503261,c_503127]) ).
cnf(c_503337,plain,
( ~ memberP(cons(X0,nil),X1)
| ~ ssList(cons(X0,nil))
| memberP(cons(X0,sk3),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503334,c_51]) ).
cnf(c_503411,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ memberP(sk4,X0)
| ~ ssList(tl(sk3))
| memberP(cons(hd(sk3),nil),X0)
| memberP(tl(sk3),X0) ),
inference(superposition,[status(thm)],[c_503161,c_503119]) ).
cnf(c_503458,plain,
( ~ memberP(sk4,X0)
| memberP(cons(hd(sk3),nil),X0)
| memberP(tl(sk3),X0) ),
inference(global_subsumption_just,[status(thm)],[c_503411,c_55,c_52,c_51,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_12017,c_15923,c_19964,c_28595,c_36254,c_36253,c_53337,c_356621]) ).
cnf(c_503466,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ memberP(sk4,X0)
| memberP(cons(hd(sk3),sk3),X0)
| memberP(tl(sk3),X0) ),
inference(superposition,[status(thm)],[c_503458,c_503337]) ).
cnf(c_503472,plain,
( memberP(cons(hd(sk3),sk3),X0)
| ~ memberP(sk4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_503466,c_55,c_52,c_51,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_12017,c_15923,c_19964,c_28595,c_36254,c_36253,c_53337,c_355560,c_355992,c_355600,c_503458]) ).
cnf(c_503473,plain,
( ~ memberP(sk4,X0)
| memberP(cons(hd(sk3),sk3),X0) ),
inference(renaming,[status(thm)],[c_503472]) ).
cnf(c_503477,plain,
( ~ memberP(sk4,X0)
| ~ ssList(sk3)
| hd(sk3) = X0
| memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_503473,c_503116]) ).
cnf(c_503479,plain,
( ~ memberP(sk4,X0)
| hd(sk3) = X0
| memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503477,c_51]) ).
cnf(c_503485,plain,
( hd(sk3) = sk5
| memberP(sk3,sk5) ),
inference(superposition,[status(thm)],[c_1536,c_503479]) ).
cnf(c_503486,plain,
hd(sk3) = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_503485,c_1534]) ).
cnf(c_505747,plain,
( cons(hd(sk3),tl(sk3)) = sk3
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_164]) ).
cnf(c_506018,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(global_subsumption_just,[status(thm)],[c_505747,c_55,c_52,c_68,c_313,c_59,c_331,c_344,c_1536,c_9412,c_9411,c_11842,c_12017,c_15923,c_19964,c_28595]) ).
cnf(c_506020,plain,
cons(sk5,tl(sk3)) = sk3,
inference(light_normalisation,[status(thm)],[c_506018,c_503486]) ).
cnf(c_506021,plain,
( ~ ssList(tl(sk3))
| memberP(sk3,sk5) ),
inference(superposition,[status(thm)],[c_506020,c_503108]) ).
cnf(c_506037,plain,
~ ssList(tl(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_506021,c_1534]) ).
cnf(c_506038,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_506037,c_36254,c_28595,c_19964,c_15923,c_12017,c_9411,c_9412,c_1536,c_344,c_331,c_59,c_313,c_68,c_51,c_52,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC410-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon Aug 28 14:39:46 EDT 2023
% 0.11/0.29 % CPUTime :
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 187.78/25.66 % SZS status Started for theBenchmark.p
% 187.78/25.66 % SZS status Unsatisfiable for theBenchmark.p
% 187.78/25.66
% 187.78/25.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 187.78/25.66
% 187.78/25.66 ------ iProver source info
% 187.78/25.66
% 187.78/25.66 git: date: 2023-05-31 18:12:56 +0000
% 187.78/25.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 187.78/25.66 git: non_committed_changes: false
% 187.78/25.66 git: last_make_outside_of_git: false
% 187.78/25.66
% 187.78/25.66 ------ Parsing...successful
% 187.78/25.66
% 187.78/25.66
% 187.78/25.66
% 187.78/25.66 ------ Preprocessing... sup_sim: 6 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 187.78/25.66
% 187.78/25.66 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 187.78/25.66
% 187.78/25.66 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 187.78/25.66 ------ Proving...
% 187.78/25.66 ------ Problem Properties
% 187.78/25.66
% 187.78/25.66
% 187.78/25.66 clauses 191
% 187.78/25.66 conjectures 7
% 187.78/25.66 EPR 65
% 187.78/25.66 Horn 161
% 187.78/25.66 unary 65
% 187.78/25.66 binary 25
% 187.78/25.66 lits 570
% 187.78/25.66 lits eq 76
% 187.78/25.66 fd_pure 0
% 187.78/25.66 fd_pseudo 0
% 187.78/25.66 fd_cond 15
% 187.78/25.66 fd_pseudo_cond 16
% 187.78/25.66 AC symbols 0
% 187.78/25.66
% 187.78/25.66 ------ Input Options Time Limit: Unbounded
% 187.78/25.66
% 187.78/25.66
% 187.78/25.66 ------
% 187.78/25.66 Current options:
% 187.78/25.66 ------
% 187.78/25.66
% 187.78/25.66
% 187.78/25.66
% 187.78/25.66
% 187.78/25.66 ------ Proving...
% 187.78/25.66
% 187.78/25.66
% 187.78/25.66 % SZS status Unsatisfiable for theBenchmark.p
% 187.78/25.66
% 187.78/25.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 187.78/25.66
% 187.78/25.66
%------------------------------------------------------------------------------